b= -11 or b = -7
1) Solving that absolute value equation we have
|b+9| = 2 Using the absolute value property |a| =-b |a| = b
b +9 = 2
b = 2 -9
b = -7
b +9 = -2
b = -2 -9
b = -11
2) Hence, the Solution is b= -11 or b = -7. So the answer is the last one